Keystones — Capstone
Five GCSE retrieval questions · 1 July 2016 · mathsvault.uk/keystones
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1. Number Simplifying surds
Simplify: 5√75
Answer: 25√3 -
2. Algebra Completing the square
Complete the square: x² + 5x - 9
Answer: (x + 5⁄2)² - 61⁄4 -
3. Geometry Area using ½ab sin C
Find area of triangle: a = 29cm, b = 16cm, angle = 78°. Give your answer to 2 decimal places
Answer: 226.93cm² -
4. Ratio Combining two ratios
a:b is 3:4 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 9:12:10 -
5. Statistics Averages and range
Find the mean, median and range of: 11, 76, 40, 91, 90, 11, 42. Give your answer to 2 decimal places
Answer: Mean = 51.57, Median = 42, Range = 80